Finding the Third Proportional to 2,695.78 and 4,159.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,695.78 : 4,159.48 = 4,159.48 : x
2. Step 2: Convert to fraction form
   2,695.78/4,159.48 = 4,159.48/x
3. Step 3: Cross multiply
   2,695.78x = 4,159.48 × 4,159.48
4. Step 4: Simplify right side
   2,695.78x = 17,301,245.27
5. Step 5: Solve for x
   x = 17,301,245.27/2,695.78
6. Step 6: Final answer
   x = 6,417.90